ODE/IM correspondence and modified affine Toda field equations

DOI10.1016/j.nuclphysb.2014.06.007zbMath1323.81041arXiv1502.00906OpenAlexW2158596399MaRDI QIDQ748688

Katsushi Ito, Christopher Locke

Publication date: 29 October 2015

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.00906

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Exactly solvable models; Bethe ansatz (82B23) Groups and algebras in quantum theory and relations with integrable systems (81R12) Applications of Lie algebras and superalgebras to integrable systems (17B80)

Related Items (16)

WKB periods for higher order ODE and TBA equations ⋮ Wall-crossing of TBA equations and WKB periods for the third order ODE ⋮ Geometric aspects of the ODE/IM correspondence ⋮ Vacuum energy of the Bukhvostov-Lipatov model ⋮ WKB analysis of the linear problem for modified affine Toda field equations ⋮ Deforming the ODE/IM correspondence with \(\mathrm{T}\overline{\mathrm{T}}\) ⋮ ODE/IM correspondence and the Argyres-Douglas theory ⋮ Bukhvostov-Lipatov model and quantum-classical duality ⋮ Quantum transfer-matrices for the sausage model ⋮ ODE/IM correspondence for modified \(B_2^{(1)}\) affine Toda field equation ⋮ Periodic-wave solutions of the two-dimensional Toda lattice equation by a direct method ⋮ ODE/IM correspondence and modified affine Toda field equations ⋮ Massive ODE/IM correspondence and nonlinear integral equations for ${A_r^{(1)}}$ -type modified affine Toda field equations ⋮ ODE/IM correspondence and supersymmetric affine Toda field equations ⋮ TBA equations for the Schrödinger equation with a regular singularity ⋮ ODE/IM correspondence for affine Lie algebras: a numerical approach

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